Question

Drag the tiles to the correct boxes to complete the pairs.Match each system of linear equations with the correct number of solutions.Infinitely many solutionsOne solutionNo solution-3x + y = 721 - 4y = -831 - y = 461 - 2y = 8y = -4r - 5y = -4r + 1

Answer 1

given a system of linear equation to find the number of solutions of the linear equation.

consdidering a system of equations:

if,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}_{}$

then, there are infinetly many solutions.

and also,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}$

The system has no solution.

now, consider,

-3x + y = 7 and 21 - 4y = -8 there is one solution for the system of equation.

31 - y = 4 and 61 - 2y = 8 there is no solution for the system of equations.

y = -4r - 5 there are infinitely many solutions for the system of equations.